Interface conditions for wave propagation through mesh refinement boundaries

  • Authors:

  • Dae-Il Choi;J. David Brown;Breno Imbiriba;Joan Centrella;Peter MacNeice

  • Affiliations:

  • Laboratory for High Energy Astrophysics, NASA/Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD and Universities Space Research Association, 7501 Forbes Boulevard, #206, Seabrook, MD;Laboratory for High Energy Astrophysics, NASA/Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD and Department of Physics, North Carolina State University, Raleigh, NC;Laboratory for High Energy Astrophysics, NASA/Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD and Department of Physics, University of Maryland, College Park, MD;Laboratory for High Energy Astrophysics, NASA/Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD;Department of Physics, Drexel University, Philadelphia, PA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2004

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Abstract

We study the propagation of waves across fixed mesh refinement boundaries in linear and nonlinear model equations in 1-D and 2-D, and in the 3-D Einstein equations of general relativity. We demonstrate that using linear interpolation to set the data in guard cells leads to the production of reflected waves at the refinement boundaries. Implementing quadratic interpolation to fill the guard cells suppresses these spurious signals.